1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veronika [31]
3 years ago
15

Please solve #9 for me idk how to do it

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Exterior Angle Theorem basically says that if there's an angle that makes a 180° with one of the angles of a triangle, the other two angles of that triangle must be equal to the angle outside.

In the context of this problem, that means m∠SAB is equal to m∠B + m∠C. Putting that into an equation would look like this: 19x + 8= 75 + 6x +11 \\ 19x + 8 = 86+ 6x.

From here, we can solve for x with the usual methods. Here's how it would look: 19x +8-8 = 86+6x-8\\ 19x=  78 +6x \\ 19x -6x = 78 +6x -6x \\ 13x = 78 \\ \frac{13}{13}x = \frac{78}{3} \\ x = 6.

With x being six, we can now find the angle measures of all of the angles in the problem by plugging it into the angles that have x and using our rules along with our theorems from there.  Let's start with ∠C, which is 6x + 11. It would look like this: C=6(6) +11 \\ C= 36 + 11 \\ C = 47. Now we know that m∠C is 47°, we can find the angle outside through exterior angle theorem again. We can set it up and solve it like this:

A = 47 + 75 \\ A = 122

So we know that the exterior angle is 122°. We also know that the interior angle (the one inside that we don't know yet) is a supplementary angle to our exterior angle (meaning that their angles add up to 180° and that they make a straight line). From this, we can find the angle by subtracting 122 from 180. This gets us 58°.

So, your angles measures are the exterior angle being 122°, the interior angle being 58°, and m∠C being 47°. Also, your x value is 6.

You might be interested in
Y = 6x − 9. What is the slope of the equation? plz explane how u get there
vlabodo [156]
Hope this helps..................

6 0
3 years ago
What is a number that can evenly be divided by 70 and 65
Tasya [4]
4,550 is the answer when you multiply the two numbers together.
4 0
3 years ago
Piper claims that 3(2a + 2) is equivalent to 5a + 6. She checks her claim by substituting -3 for a. Is Piper's claim correct? Wh
Paha777 [63]

Answer:

Piper's claim is not correct.

Step-by-step explanation:

3(2(-3)+2) = 5(-3)+6

3(-6+2) = -15 + 16

-18 + 6 = 1

-12 = 1

6 0
3 years ago
Will bought 3 college textbooks. One cost 32$, one cost 45$, and one cost 39$. What is the average price of his book?
Damm [24]

Answer:

The average of all textbooks is $38.60.

Step-by-step explanation:

Here's why to calculate average we do sum of all numbers divided by the number of numbers, for example if we average 2 and 3, we do 2+3 divided by 2. Which happens to be 2.5. Now for this problem we divide the sum by 3.

Therefore getting our answer of $38.60.


If this helps hit the thank button!

5 0
3 years ago
Evaluate -6-9÷(-3) ?​
sdas [7]
Answer- 21

-6+-9
—
-3
-6+27=21
5 0
2 years ago
Other questions:
  • Two sets of data have the same measures of central tendency. Are the data sets the same? Explain.
    12·2 answers
  • thd unit price for frozen spinach is 3.2 centsper ounce. at what price how much would 1 pound of spinach cost round off the answ
    6·1 answer
  • 1 point) Consider the following game of chance based on the spinner below: Each spin costs $2. If the spinner lands on A the pla
    15·1 answer
  • Melanie earns $97.50bin 6 hours.Earl earns $296.00 in 20 hours.who earns a higher rate of pay per hour?
    6·1 answer
  • James is six years older than lousie. Eight years from now, James will be 4 times older than loise was 4 years ago. What is the
    5·1 answer
  • I’m literally begging someone please help (just number 10. show work)
    7·1 answer
  • Does anyone here take latin??????!!!!!!!!!!??????????!!!!!!!!
    15·1 answer
  • Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with
    5·1 answer
  • Johns bill at the pizza place was $36.20 he left a 15% tip how much was his total bill​
    6·1 answer
  • 6. Select the number of solutions for each system of two linear equations.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!